Concepedia

Random Walk Intersection Theory

Random Walk Intersection Theory is a mathematical framework within probability theory that characterizes the statistical properties and recurrence behavior of paths formed by the intersection of two or more independent random walks on a graph or lattice.

18

Publications

829

Citations

22

Authors

20

Institutions

Publications per year

2017–2026

1

Parents

Publications

18

Marginal triviality of the scaling limits of critical 4D Ising and $\lambda\phi_4^4$ models

Michael Aizenman, Hugo Duminil‐Copin · Annals of Mathematics · 2021 · 113 citations · Full text

, , +14

Random Walks and Quantum Gravity in Two Dimensions

Bertrand Duplantier · Physical Review Letters · 1998 · 88 citations

, , +9

Conformal Invariance and Intersections of Random Walks

Bertrand Duplantier, Kyung‐Hoon Kwon · Physical Review Letters · 1988 · 88 citations

, , +8

Self-Intersection Gauge for Random Walks and for Brownian Motion

E. B. Dynkin · The Annals of Probability · 1988 · 86 citations

, , +11

Some intersection properties of random walk paths

Paul Erdős, Samuel J. Taylor · Acta Mathematica Academiae Scientiarum Hungaricae · 1960 · 80 citations

, , +7

1–5 of 18

Authors

22

  1. GF
    Gregory F. Lawler

    Duke University, United States

    4 publications · 132 citations

    4

    h-index

  2. BD
    Bertrand Duplantier

    Institut de Physique Théorique, France

    3 publications · 214 citations

    3

    h-index

  3. XY
    Xian Yin Zhou

    Beijing Normal University, China

    2 publications · 29 citations

    2

    h-index

  4. MM
    M. Marcus

    City College of New York, United States

    1 publications · 16 citations

    1

    h-index

  5. BR
    Balázs Ráth

    Budapest University of Technology and Economics, Hungary

    1 publications · 48 citations

    1

    h-index

1–5 of 22

Institutions

20

  1. Duke University

    Durham, United States

    4 h-index

    5 publications

    155 citations

  2. Institut de Physique Théorique

    Gif-sur-Yvette, France

    3 h-index

    4 publications

    302 citations

  3. Beijing Normal University

    Beijing, China

    2 h-index

    2 publications

    29 citations

  4. ETH Zurich

    Zurich, Switzerland

    2 h-index

    3 publications

    134 citations

  5. City College of New York

    New York, United States

    1 h-index

    1 publications

    16 citations

  6. National Institute of Standards and Technology

    Gaithersburg, United States

    1 h-index

    2 publications

    102 citations

  7. University of Washington

    Seattle, United States

    1 h-index

    1 publications

    23 citations

  8. University of Tennessee at Knoxville

    Knoxville, United States

    1 h-index

    1 publications

    10 citations

1–8 of 20

Venues

  1. Communications in Mathematical Physics

    4 publications · 172 citations

    4

    h-index

  2. The Annals of Probability

    2 publications · 96 citations

    2

    h-index

  3. Physical Review Letters

    PRL · 2 publications · 176 citations

    2

    h-index

  4. Stochastic Processes and their Applications

    1 publications · 12 citations

    1

    h-index

  5. Journal of Statistical Physics

    1 publications · 23 citations

    1

    h-index

1–5